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Beliebt Rechnen >

2y^'=3t+2

Lösung

2 y^{^{'}} = 3 t + 2

Lösung

y = \frac{3 t ^{2}}{4} + t + c_{1}

Schritte zur Lösung

2 y^{'} (t) = 3 t + 2

Isoliere

y^{'} (t) : y^{'} (t) = \frac{3 t + 2}{2}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{3 t + 2}{2} d t

\int \frac{3 t + 2}{2} d t = \frac{3 t ^{2}}{4} + t + c_{1}

y = \frac{3 t ^{2}}{4} + t + c_{1}

Graph

Beliebte Beispiele

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